Here's an eye-opening statistic: older Americans are more afraid of running out of money than of death itself.

And unfortunately, even retirees who have built a nest egg have good reason to be concerned-with the traditional approaches to retirement planning, income may no longer cover expenses. That means retirees are dipping into principal to make ends meet, setting up a race against time between dwindling investment balances and longer lifespans.

In today's economic environment, traditional income investments are not working.

In the past, investors going into retirement could invest in bonds and count on attractive yields to produce steady, reliable income streams to fund a predictable retirement. 10-year Treasury bond rates in the late 1990s hovered around 6.50%, whereas the current rate is much lower.

The effect of this drop in rates is substantial: over 20 years, the change in yield for a $1 million investment in 10-year Treasuries is over $1 million.

And lower bond yields aren't the only potential problem seniors are facing. Today's retirees aren't feeling as secure as they once did about Social Security, either. Benefit checks will still be coming for the foreseeable future, but based on current estimates, Social Security funds will run out of money in 2035.

So what's a retiree to do? You could cut your expenses to the bone, and take the risk that your Social Security checks don't shrink. Or you could find an alternative investment that provides a steady, higher-rate income stream to replace dwindling bond yields.

Invest in Dividend Stocks

We feel that these dividend-paying equities-as long as they are from high-quality, low-risk issuers-can give retirement investors a smart option to replace low-yielding Treasury bonds (or other bonds).

Look for stocks that have paid steady, increasing dividends for years (or decades), and have not cut their dividends even during recessions.

One way to identify suitable candidates is to look for stocks with an average dividend yield of 3%, and positive average annual dividend growth. Many stocks increase dividends over time, helping to offset the effects of inflation.

Here are three dividend-paying stocks retirees should consider for their nest egg portfolio.

Alerus (ALRS Quick QuoteALRS - Free Report) is currently shelling out a dividend of $0.21 per share, with a dividend yield of 3.77%. This compares to the Financial - Miscellaneous Services industry's yield of 0% and the S&P 500's yield of 1.49%. The company's annualized dividend growth in the past year was 5%. Check Alerus dividend history here>>>

Associated Banc-Corp (ASB) is paying out a dividend of $0.23 per share at the moment, with a dividend yield of 3.41% compared to the Banks - Midwest industry's yield of 2.49% and the S&P 500's yield. The annualized dividend growth of the company was 4.55% over the past year. Check Associated Banc-Corp dividend history here>>>

Currently paying a dividend of $0.29 per share, Brixmor Property (BRX) has a dividend yield of 4.11%. This is compared to the REIT and Equity Trust - Retail industry's yield of 3.94% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 5.5%. Check Brixmor Property dividend history here>>>

But aren't stocks generally more risky than bonds?

Overall, that is true. But stocks are a broad class, and you can reduce the risks significantly by selecting high-quality dividend stocks that can generate regular, predictable income and can also decrease the volatility of your portfolio compared to the overall stock market.

An upside to adding dividend stocks to your retirement portfolio: they can help lessen the effects of inflation, since many dividend-paying companies (especially blue chip stocks) generally increase their dividends over time.

Thinking about dividend-focused mutual funds or ETFs? Watch out for fees.

If you're interested in investing in dividends, but are thinking about mutual funds or ETFs rather than stocks, beware of fees. Mutual funds and specialized ETFs may carry high fees, which could lower the overall gains you earn from dividends, undercutting your dividend income strategy. Be sure to look for funds with low fees if you decide on this approach.

Bottom Line

Regardless of whether you select high-quality, low-fee funds or stocks, looking for a steady stream of income from dividend-paying equities can potentially lead you to a solid and more peaceful retirement.